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Finding the Fourth Proportional to 120,915.20, 181,286.40 and 54,300.80

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Solution

The fourth proportional to 120,915.20, 181,286.40 and 54,300.80 is: 81,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,915.20 : 181,286.40 = 54,300.80 : x
  2. Step 2: Convert to fraction form
    120,915.20/181,286.40 = 54,300.80/x
  3. Step 3: Cross multiply
    120,915.20x = 181,286.40 × 54,300.80
  4. Step 4: Simplify right side
    120,915.20x = 9,843,996,549.12
  5. Step 5: Solve for x
    x = 9,843,996,549.12/120,915.20
  6. Step 6: Final answer
    x = 81,412.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.